The author of the Taylor Rule has provided new evidence about the application of the Sandpile model to his rule. The same findings of the Sandpile model are described in the Taylor paper in agreement with the conclusi...The author of the Taylor Rule has provided new evidence about the application of the Sandpile model to his rule. The same findings of the Sandpile model are described in the Taylor paper in agreement with the conclusions of the Sandpile model. That is, that keeping interest rates too low for too long penalizes the economic recovery. On top of that the Sandpile also provides a metric for the severity of the crisis. The same law (Power Law) applies to the size and the duration of the crisis just modifying the order of the distribution paving thus a way for measuring the size of the crisis. According to the NBER data, the length is already determined for the US crisis, if the model holds on, we can also assess the severity.展开更多
Sandpile phenomena in dynamic systems in the vicinity of criticality always appeal to a sudden break of stability with avalanches of different sizes due to minor perturbations. We can view the intervention of the Cent...Sandpile phenomena in dynamic systems in the vicinity of criticality always appeal to a sudden break of stability with avalanches of different sizes due to minor perturbations. We can view the intervention of the Central Banks on the rate of interest as a perturbation of the economic system. It is an induced perturbation to a system that fare in vicinity of criticality according to the conditions of stability embedded in the equations of the neoclassical model. An alternative reading of the Taylor Rule is proposed in combination with the Sandpile paradigm to give an account of the economic crisis as an event like an avalanche, that can be triggered by a perturbation, as is the intervention of the Central Bank on the interest rate.展开更多
In this article, we report the derivation of high accuracy finite difference method based on arithmetic average discretization for the solution of Un=F(x,u,u′)+∫K(x,s)ds , 0 x s < 1 subject to natural boundary co...In this article, we report the derivation of high accuracy finite difference method based on arithmetic average discretization for the solution of Un=F(x,u,u′)+∫K(x,s)ds , 0 x s < 1 subject to natural boundary conditions on a non-uniform mesh. The proposed variable mesh approximation is directly applicable to the integro-differential equation with singular coefficients. We need not require any special discretization to obtain the solution near the singular point. The convergence analysis of a difference scheme for the diffusion convection equation is briefly discussed. The presented variable mesh strategy is applicable when the internal grid points of the solution space are both even and odd in number as compared to the method discussed by authors in their previous work in which the internal grid points are strictly odd in number. The advantage of using this new variable mesh strategy is highlighted computationally.展开更多
文摘The author of the Taylor Rule has provided new evidence about the application of the Sandpile model to his rule. The same findings of the Sandpile model are described in the Taylor paper in agreement with the conclusions of the Sandpile model. That is, that keeping interest rates too low for too long penalizes the economic recovery. On top of that the Sandpile also provides a metric for the severity of the crisis. The same law (Power Law) applies to the size and the duration of the crisis just modifying the order of the distribution paving thus a way for measuring the size of the crisis. According to the NBER data, the length is already determined for the US crisis, if the model holds on, we can also assess the severity.
文摘Sandpile phenomena in dynamic systems in the vicinity of criticality always appeal to a sudden break of stability with avalanches of different sizes due to minor perturbations. We can view the intervention of the Central Banks on the rate of interest as a perturbation of the economic system. It is an induced perturbation to a system that fare in vicinity of criticality according to the conditions of stability embedded in the equations of the neoclassical model. An alternative reading of the Taylor Rule is proposed in combination with the Sandpile paradigm to give an account of the economic crisis as an event like an avalanche, that can be triggered by a perturbation, as is the intervention of the Central Bank on the interest rate.
文摘In this article, we report the derivation of high accuracy finite difference method based on arithmetic average discretization for the solution of Un=F(x,u,u′)+∫K(x,s)ds , 0 x s < 1 subject to natural boundary conditions on a non-uniform mesh. The proposed variable mesh approximation is directly applicable to the integro-differential equation with singular coefficients. We need not require any special discretization to obtain the solution near the singular point. The convergence analysis of a difference scheme for the diffusion convection equation is briefly discussed. The presented variable mesh strategy is applicable when the internal grid points of the solution space are both even and odd in number as compared to the method discussed by authors in their previous work in which the internal grid points are strictly odd in number. The advantage of using this new variable mesh strategy is highlighted computationally.